Answer:
-8x+25x+5-7=3x-9
or ,17x -2=-9+2
or, -14x=-7
or, x=-7/-14
x=1/2
Answer:
-8x +25x +5-7=3x-9
17x-2 = 3x-9
17x-3x=9+2
14x =11
x= 14/11
please solve for x
5x+10y=25
[tex]5x+10y=25[/tex]
Add -10y to both sides:
[tex]5x+10y+-10y=25+-10y[/tex]
[tex]5x=-10y+25[/tex]
Divide both sides by 5:
[tex]\dfrac{5x}{5} =\dfrac{-10y+25}{5}[/tex]
[tex]\fbox{y = -2y + 5}[/tex]
In the first week of July a record 1,120 people went to the local swimming pool in the second week 125 fewer people went to the pool than in the first week in the third week 130 more people went to the pool than in the second week in the fourth week 229 fewer people went to the pool than in the third week what is the percent decrease in the number of people who went to the pool over these four weeks
There is 20% decrease in the number of people who went to the pool over these four weeks.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we mean that it is 50% of everything.
Attendance of pool in first week of July = 1120
In second week, 125 fewer people joined.
Thus, attendance in second week is = 1120-125 = 995
In third week, 130 more people joined.
Thus, attendance in third week is = 995+130 = 1125
In fourth week, 229 fewer people joined.
Thus, attendance in fourth week is = 1125-229 = 896
Difference of attendance in first and fourth week = 1120-896 = 224
Percentage decrease = (Decrease number/Initial number)×100%
= (224/1120)×100%
= 0.20×100%
= 20%
Thus, there has been a 20% decrease over the four weeks.
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Ron refills the oil in his car using a funnel. The upper rim of the funnel has a diameter of 8 inches. What is the rim's radius?
4 inches is the rim's radius
What is the rim's radius?The formula for finding the radius of a circle is r=d/2, where r is the radius and d is the diameter.The diameter of the funnel rim is 8 inches, so the radius is 8/2 = 4 inches. This can also be expressed as a mathematical equation as follows: r = 8/2 or r = 4. The radius of a circle is the distance from the center of the circle to its circumference.It is a measure of the size of the circle, and is used to calculate the area of a circle using the formula A = πr², where A is the area and r is the radius.The radius of the funnel rim is 4 inches, so the area can be calculated using the equation A = π(4)² = 16π. The radius is an important part of understanding the size and shape of a circle. When refilling oil in a car, a funnel with a larger radius can help to increase the flow of the oil.The radius of the funnel should be large enough to allow the oil to flow easily but not so large that it causes a mess. Refilling oil in a car using a funnel with a radius of 4 inches should provide ample flow of oil without.To learn more about the radius of a circle refer to:
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scientific notation is used to keep track of very small and vary large numbers during mathematical calculations. truefalse
It is true that very small and very large and small numbers can be expressed in terms of scientific notation.
What is Scientific Notation ?Scientific notation is a method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.
The general for of scientific notation is
In scientific notation, all numbers are written in the general form as
N × [tex]10^{m}[/tex]
N times ten raised to the power of m, where the exponent m is an integer, and the coefficient N is any real number. The integer m is called the order of magnitude and the real number N is called the significand.
The digit term in the scientific notation indicates the number of significant figures in the number. The exponential term only places the decimal point. As an example,
4660000 = 4.66 x 106
This number only has 3 significant figures. The zeros are not important, they are just placeholders. As another example,
0.00053 = 5.3 x 10-4
This number has 2 significant figures. The zeros are only placeholders.
Scientific Notation Rules:
While writing the numbers in the scientific notation we have to follow certain rules they are as follows:
The scientific notations are written in two parts one is the just the digits, with the decimal point placed after the first digit, followed by multiplication with 10 to a power number of decimal point that puts the decimal point where it should be.
If the given number is greater than 1 and multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive
Example: Scientific notation for 8000 will be 8 × 103.
If the given number is smaller than 1 means in the form of decimal numbers, then the decimal point has to move to the right, and the power of 10 will be negative.
Example: Scientific notation for 0.008 will be 8 × 0.001 or 8 × 10-3.
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Is △XYZ equilateral, isosceles, or neither? Explain your reasoning. (Make sure to include how/why you know which of these categories the triangle falls into!)
Answer:
equilateral
Step-by-step explanation:
You want to know if the given triangle with angles marked (2x)°, (2x)°, and (3x-30)° is equilateral, isosceles, or neither.
AnglesOn the face of it, the triangle is at least isosceles, as two angles are marked identically as (2x)°.
When we apply the angle sum theorem, we find ...
(2x)° +(2x)° +(3x -30)° = 180°
7x -30 = 180
7x = 210
x = 30
2x = 2(30) = 60
3x -30 = 3(30) -30 = 60
All of the angles have the same measure, 60°, so the triangle is equilateral.
Answer:
3 equal angles = equilateral triangle
Step-by-step explanation:
the sum of the interior angles in a triangle is 180°
2x + 2x + 3x - 30 = 180
7x = 210
x = 210 : 7
x = 30
find angle Y & Z2 x 30 = 60°
find angle x3 x 30 - 30 = 60
3 equal angles = equilateral triangle
7
a-4
a - 4
||
|
14
6
Are these 2 equivalent.
The equations a + 4 = 14 and a = 6 - 4 are not equivalent.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
From the information, a - 4 = 14
Therefore a = 14 + 4
a = 18.
a + 4 = 6
a = 6 - 4.
a = 2
They are not equivalent.
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a - 4 = 14
a + 4 = 6
Are these 2 equivalent.
3y= -6x+1. Find the value of y.
[tex]3y= -6x+1[/tex] for y
Divide both sides by 3:
[tex]\dfrac{3y}{3} =\dfrac{-6x+1}{3}[/tex]
[tex]\fbox{y = $-2x+\dfrac{1}{3} $}[/tex]
Usually Cassandra tap dances 1 7/8 hours a day. Today she reduced this time by half. For how long did she tap dance today?
Answer: 15/16 hour
Step-by-step explanation:
Please help me. I don't want to get the answer wrong
Answer:
photo?
Step-by-step explanation:
Determine the perimeter of the right triangle shown.
right triangle with vertices at negative 5 comma 3, negative 5 comma negative 2, and 7 comma negative 2
5 units
13 units
26 units
30 units
The perimeter of the right triangle shown is given by the following option:
39 units.
How to obtain the perimeter of a figure?The perimeter of a figure is composed by the sum of the lengths of the outer edges of the figure.
The sides of the right triangle in this problem are given as follows:
5, vertical side, as 3 - (-2) = 5.12, horizontal side, as 12 - (-5) = 17.Then, applying the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:
h² = 5² + 17²
h = square root(5² + 17²)
h = 17.7.
The hypotenuse is the third side length of the triangle, hence it's perimeter is calculated as follows:
5 + 17 + 17 = 39 units.
(I suppose there was a typing mistake on the options).
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Answer:
its D
Step-by-step explanation:
30
Use the formula y = mx + b and use point slope form to write an equation for a line given with the given information.
Either the slope intercept form or the point-slope form can be used to express the equation of a line-, the line's equation is - 3x - 5.
What is Slope?A line's steepness and direction are measured by the line's slope.
Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two distinct points on a line can be used to calculate the slope of any line.
The ratio of "vertical change" to "horizontal change" between two different points on a line is calculated using the slope of a line formula.
According to our question-
the points are given as
(x1,y1)=0,-5
(x2,y2)=-3,4
m = y2-y2/x2-x2
Hence, the line's equation is - 3x - 5.
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Determine whether AB¯¯¯¯¯¯¯¯ A B ¯ is congruent to CD¯¯¯¯¯¯¯¯ C D ¯ . Justify your answer. A(1, 5) A ( 1 , 5 ) , B(6, 1) B ( 6 , 1 ) C(−2, 8) C ( − 2 , 8 ) , D(−6, 3) D ( − 6 , 3 ) Which of the following best solves the problem? Show Hints
AB is congruent to CD.AB = CD =[tex]\sqrt{14} units[/tex] (proved)
What is the distance formula of coordinate geometry?In coordinate geometry, we use the distance formula to find the distance between two coordinates in a straight line. It represented D.
Let's consider two points on a coordinate plane given as A and B (x₂, y₂).
D = [tex]\sqrt{(x2 -x 1)^2 + (y2 - y1)^2}[/tex]
Given:
The coordinates of the given quadrilateral are,
A(1, 5), B(6, 1), C(−2, 8), D(−6, 3).
According to the question we need to determine AB = CD.
By using the distance formula of coordinate geometry.
[tex]\sqrt{(x2 -x 1)^2 + (y2 - y1)^2}[/tex]
Distance between A and B,
[tex]AB =\sqrt{(6 - 1)^2 + (5-1)^2 } \\AB = \sqrt{5^2 + 4^2} \\AB = \sqrt{25 + 16} \\AB = \sqrt{41} units[/tex] .......(1)
Distance between C and D,
[tex]CD =\sqrt{(-6 -(-2))^2 + (3-8)^2 } \\CD = \sqrt{(-4)^2 + (-5)^2} \\CD = \sqrt{16 + 25} \\CD = \sqrt{41} units[/tex].......(2)
From equation (1) and (2) we find that
AB = CD =[tex]\sqrt{14} units[/tex]
Hence, AB is congruent to CD.AB = CD =[tex]\sqrt{14} units[/tex] (proved).
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Given ab, and c is not parallel to a or b, which statements
must be true?
Select each correct answer.
O
□m/4=m/8
m/8=m/9
m/2=m/7
m/7=m/10
a
C
1/2
3/4
5/6
7/8
9/10
11/12
What is the breadth of perimeter=50 ft and Length=15ft
Answer:
Breadth = 10 ft
Step-by-step explanation:
Given information,
→ Perimeter (P) = 50 ft
→ Length (L) = 15 ft
→ Breadth (B) = ??
Now we have to,
→ find the required value of Breadth.
Formula we use,
→ P = 2(L + B)
Then the required Breadth will be,
→ P = 2(L + B)
→ 50 = 2(15 + B)
→ 30 + 2B = 50
→ 2B = 50 - 30
→ B = 20/2
→ [ B = 10 ft ]
Hence, required Breadth is 10 ft.
how to simpify 2,400/100
Answer:
24/1
Step-by-step explanation:
[tex] \frac{2400}{ \\ 100} [/tex]
and u get 24/1
flight of a rocket the altitude in feet attained by a model rocket t seconds into flight is given by the function h(t). find the maximum altitude (in ft) attained by the rocket. (round your answer to the nearest foot.) h(t)
the maximum altitude attained by the rocket is 300 ft (rounded to the nearest foot) with time.
To find the maximum altitude attained by the rocket, we need to find the vertex of the function h(t). We can do this by taking the derivative of the function and setting it equal to 0.
h'(t) = -32t + 300
Setting h'(t) = 0, we get
-32t + 300 = 0
32t = 300
t = 300/32
hence the time t ≈ 9.375
Now, we can substitute the value of t in the original equation h(t) to get the maximum altitude attained by the rocket.
h(9.375) = -16(9.375)2 + 300(9.375)
h(9.375) = 300 ft
Therefore, the maximum altitude attained by the rocket is 300 ft (rounded to the nearest foot).
The complete question is :
flight of a rocket the altitude in feet attained by a model rocket t time seconds into flight is given by the function h(t). find the maximum altitude (in ft) attained by the rocket. (round your answer to the nearest foot.) h(t)= -16t2 + 300t
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I NEED HELP!!!! Use the graph of the polynomial equation y=x^4-10x² + 16 to describe its concavity. How many points of inflection does this curve have?
Points of inflection does this curve have is:
Concave Up: [tex]$\left(-\infty,-\sqrt{\frac{5}{3}}\right),\left(\sqrt{\frac{5}{3}}, \infty\right)$[/tex]
Concave Down: [tex]$\left(-\sqrt{\frac{5}{3}}, \sqrt{\frac{5}{3}}\right)$[/tex]
Points of Inflection: [tex]$(-1.2910,2.1111),(1.2910,2.1111)$[/tex]
To find the concavity of a function?
We need to take the second derivative.
y' = 4x^3 - 20x
y'' = 12x^2 - 20
Finding the points of inflection involves setting the second derivative equal to 0. Add 20 over, divide by 12, and take the square root. The positive and negative square roots of 5/3 are the potential points of inflection.
Setting up a number line can help to determine concavity. Let's plug in -2 into the second derivative. From this, we have found that from negative infinity to the negative square root of 5/3, the graph is concave up, as f''(-2) > 0. f''(0) < 0, so from the negative square root of 5/3 to the positive square root of 5/3, the graph is concave down. f''(2) is also > 0, and therefore from the positive square root of 5/3 to infinity, the graph is concave up.
Since the graph shifted direction at both potential points of inflection, they are both actually points of inflection. To find the y-values for each point of inflection, plug the x-value back into the original polynomial equation.
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100pts. Need Answer ASAP
Use the Substitution method, jan is solving the system of equations.
A. 3(−3x + 2) − 2x= −24
B. 3(−3x - 2) − 2x= −24
C. 3x − 2(−3x + 2)= −24
D. 3x − 2(−3x − 2)= −24
62/87,21
y = x + 5
3x + y = 25
Substitute x + 5 for y in the second equation.
Substitute the solution for x into either equation to find y.
The solution is (5, 10).
When it comes to creditors and
debtors, which of the following
occurs?
A. Creditors and debtors receive loans from
consumers as capital.
B. Every debtor is guaranteed a loan.
C. Debtors receive loans as capital from creditors.
D. All creditors have the same interest rates for
debtors.
The only true given statement about debtors and creditors is; C. Debtors receive loans as capital from creditors.
How to identify creditors and debtors?Debtors are defined as the party from whom we have to receive the payment in the form of cash or any negotiable instrument.This means an asset for the firm.
Meanwhile, the creditors are defined as the party to which we will pay in the future agreed date in the form of cash or any negotiable instrument. This means liability for a firm.
A) This is not true because creditors don't receive loans from consumers as capital. This is the role of debtors.
B) This is not correct because it is not true that every debtor is guaranteed a loan.
C) This is true as defined earlier on the role of debtors and creditors.
D) This is not true because different creditors have different lending rates as the case may be.
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PLEASE HELP!!!!!!!!
Given 2 and one-eighth times negative 7 times five tenths, determine the product.
negative fourteen and five eightieths
negative 7 and seven sixteenths
fourteen and five fortieths
7 and one eighth
Answer:
Negative seven and seven sixteenths
Step-by-step explanation:
2⅛ x (-7) x 5/10
= 17/8 x (-7) x 1/2
= - 119/16
= - 7 7/16
of the guests at a charity fundraiser, 180 own both a house in the hamptons and a house in palm beach. if not every guest at the fundraiser owns a house in either the hamptons or palm beach, what is the ratio of the number of people who own a house in palm beach but not in the hamptons to the number of people who own a house in the hamptons but not in palm beach? (1) one-half of the guests own a house in palm beach. (2) two-thirds of the guests own a house in the hamptons.
"NOT EVERYONE who attended ratio the fundraiser owned a home in the Hamptons or Palm Beach."
What is statement type questions?
In research, a statement of the problem is used as a claim that outlines the problem addressed by a study. The problem statement answers the question briefly: What is the problem that the research will address? What are the objectives of a problem statement?
Consider the following diagram in the attachment (12) for both statement
H = the number of people who owned a home in the Hamptons but did not own a home in Palm Beach.
P = the number of people who owned a home in Palm Beach but did not own a home in the Hamptons.
N = the number of people who did not own a home in Palm Beach or the Hamptons.
Union = H+P+180 Universal = H+P+180 + N P/H =??
Statement 1: (P+180) / (H + P + 180 + N) = 1/2 Inadequate
Statement 2: (H+180) / (H + P + 180 + N) = 2/3 Inadequate
1 and 2 statements
Solve for H and P to find P/H; however, N cannot be eliminated.
This is insufficient.
We should find the ratio of red boxes, however with the information provided, this is impossible.
"NOT EVERYONE who attended the fundraiser owned a house in the Hamptons or Palm Beach.".
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Given △
△
M
T
S
and △
△
S
Q
P
, find SP.
Answer:
22
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
[tex]\frac{3x+2}{5x-4}=\frac{15}{20}=\frac{3}{4} \\ \\ 12x+8=15x-12 \\ \\ 3x=20 \\ \\ \therefore SP=20+2=22[/tex]
Find the values of x and y
Answer:
x = 20
y = 70
Step-by-step explanation:
It's rather difficult to explain since nothing is labeled but those are the answers
2(x+6)+3x+4=
what it equals
Answer:
5x + 16
Step-by-step explanation:
First you have to distribute the 2 into the parentheses
2 times x is 2x
2 times 6 is 12
so now the equation is
2x + 12 + 3x + 4
add the 2x and 3x and that is 5
so now the equation is...
5x + 12 + 4
add 12 + 4 and that is 16
so now the answer is
5x + 16
A sightseeing tour bus can carry 72 people. If 420 people want to go sightseeing on the bus, what is the minimum number of trips the bus will have to make for everyone to go sightseeing?
4
7
6
5
The solution is Option D.
The minimum number of trips of buses to carry 420 people is 5 trips
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given as
The number of people the tour bus can carry = 72 people
The total number of people who want to go sightseeing = 420 people
So , the equation will be
The number of trips of bus to carry 420 people = total number of people who want to go sightseeing / number of people the tour bus can carry
Substituting the values in the equation , we get
The number of trips of bus to carry 420 people = 420/72
The number of trips of bus to carry 420 people = 5.8
The number of trips of bus to carry 420 people = 5 buses
Therefore , the minimum number of buses is 5 buses
Hence , The minimum number of trips of buses to carry 420 people is 5 trips
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n divided by 6 equals 42 please explain
The value of n when is divided by 6 and it gives 42 is 252
What is division?Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division and 12 divided by 4 gives 3 in each group. This means that 3 and 4 are factors of 12
When dividing a number by another number that is not it's factor, there will be remainder for example 12 divided by 5 . It will give 2 remainder 2. This is because 5 is not a factor of 12.
Similarly, n divided by 6 to give 42. This means that 42 and 6 are factors of n
Therefore to find n we multiply 42 and 6.
n = 42×6
n = 252
therefore the value of n is 252
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identify the measure of angle X:
Since the line is linear, the sum of the angles should be 180 degrees
x + 28 + 73 = 180
x = 180 - 28 - 73
x = 79 degrees
Hope this helped :)
Proportions
Lily planted 8 zucchini plants and got 50
zucchinis. Next year she intends on planting
20 zucchini plants. How big will her harvest
be?
29
A 125
B 145
C 75
D 95
Answer:
a) 125
Step-by-step explanation:
[tex]\frac{8}{50}[/tex] = [tex]\frac{20}{x}[/tex] Cross multiply and solve for x
8x = 1000 Divide both sides by 8
[tex]\frac{8x}{8}[/tex] = [tex]\frac{1000}{8}[/tex]
x = 125
What is life? Ok answer me that I'm okay just answer the question
The required life is any living thing that has the property to be born, grow and end of the life cycle is life.
What are living beings?Any object that has characteristics of life is called living a being.
Here,
Life can be defined as the ability for growth, response to encouragements, metabolism, energy vitality and reproduction are characteristics that set life apart from matter that lacks biological activities, such as signaling and self-sustaining processes.
Thus, the required life is any living thing that has the property to be born, grow and end the life cycle is life.
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A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Let w equal the price of a bottle of water. Write an equation that
represents the situation.
Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50
Step-by-step explanation: i dont know what to write??
